Question on: JAMB Mathematics - 1992

find then equation line through (5, 7) parallel to the line 7x + 5y = 12

A
5x + 7y = 120
B
7x + 5y = 70
C
x + y = 7
D
15x + 17y = 90
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Correct Option: B

Equation (5, 7) parallel to the line 7x + 5y = 12

5Y = -7x + 12

y = (\frac{-7x}{5}) + (\frac{12}{5})

Gradient = (\frac{-7}{5})

∴ Required equation = (\frac{y - 7}{x - 5}) = (\frac{-7}{5}) i.e. 5y - 35 = -7x + 35

5y + 7x = 70

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